Perception-augmented Hidden Markov Model

This repository contains the codes for reproducing results in "A Perception-augmented Hidden Markov Model for Family Management of Diabetes". It consists of three main components:

1. Folder Application contains codes for analyzing FMOD trail data and reproducing results in Section 2 and 5
2. Folder Simulation contains codes for reproducing results of simulation studies in Section 6
3. DHMM_*.R are the main functions implementing the proposed method and MHMM_*.R implement the method introduced in Raffa and Dubin (2015) for the purpose of comparison:

• DHMM_v1.R and MHMM_v3.R are used for simulation study.
• DHMM_v2.R and MHMM_v4.R are used for real data application. They accommodate covariates in the emission model.

The working flows for generating real data analysis results (as in Sections 2 and 5) and simulation results (as in Section 6) are described in separate README files in folders Application and Simulation, respectively.

Reference:

1. Lu, R., Nansel, T. R. and Chen, Z. (2021). "A perception-augmented hidden Markov model for family management of diabetes". Under review.
2. Raffa, J. D. and Dubin, J. A. (2015). "Multivariate longitudinal data analysis with mixed effects hidden Markov models." Biometrics, 71, 3, 821-831.